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My younger sister's age today is 3 times, what it will be 3 years from now minus 3 times what her age was 3 years ago. Find her present age. - Mathematics

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प्रश्न

My younger sister's age today is 3 times, what it will be 3 years from now minus 3 times what her age was 3 years ago. Find her present age.

योग
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उत्तर

Let the age of my younger sister be x yr.

Then, her age after 3 yr = (x + 3) yr

Also, her age 3 yr ago = (x – 3) yr

It is given that her present age is 3 times her age after 3 yr minus 3 times her age 3 yr ago

Therefore, we obtain the following equation

x = 3(x + 3) – 3(x – 3)

⇒ 3x + 9 – 3x + 9  ...[Using the distribute property]

⇒ x = 18 yr

Hence, her present age is 18 yr.

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अध्याय 4: Simple Equations - Exercise [पृष्ठ ११३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 4 Simple Equations
Exercise | Q 79. | पृष्ठ ११३

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